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Conference Paper

On the H2 norm and iterative model order reduction of linear switched systems

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Gosea,  Ion Victor
Max Planck Fellow Group for Data-Driven System Reduction and Identification, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society;

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Antoulas,  Athanasios C.
Max Planck Fellow Group for Data-Driven System Reduction and Identification, Max Planck Institute for Dynamics of Complex Technical Systems, Max Planck Society;

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1712.03094.pdf
(Preprint), 488KB

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Citation

Gosea, I. V., & Antoulas, A. C. (2018). On the H2 norm and iterative model order reduction of linear switched systems. In 2018 European Control Conference (ECC) (pp. 2983-2988). Piscataway, NJ, USA: IEEE.


Cite as: http://hdl.handle.net/21.11116/0000-0000-2BC9-E
Abstract
A new definition of the H2 norm for linear switched systems is introduced. It is based on appropriately defined time-domain kernels, or equivalently, on infinite controllability and observability Gramian matrices. Furthermore, an extension of the iterative rational Krylov algorithm to the class of linear switched systems is proposed.